Scattering dynamics and boundary states of a non-Hermitian Dirac equation
Scattering dynamics and boundary states of a non-Hermitian Dirac equation
We study a non-Hermitian variant of the $(2+1)$-dimensional Dirac wave equation that hosts a real energy spectrum with pairwise-orthogonal eigenstates. In the spatially uniform case, the Hamiltonian's non-Hermitian symmetries allow its eigenstates to be mapped to a pair of Hermitian Dirac subsystems. When a wave is transmitted across an interface …